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dc.contributor.authorLiu, Zihuien_US
dc.contributor.authorWu, Xin-Wenen_US
dc.contributor.authorLuo, Yuanen_US
dc.contributor.authorChen, Wendeen_US
dc.date.accessioned2017-04-24T13:25:14Z
dc.date.available2017-04-24T13:25:14Z
dc.date.issued2011en_US
dc.date.modified2011-09-27T06:58:08Z
dc.identifier.issn00200255en_US
dc.identifier.doi10.1016/j.ins.2011.04.021en_AU
dc.identifier.urihttp://hdl.handle.net/10072/40950
dc.description.abstractCode equivalence is a basic concept in coding theory. The well-known theorem by MacWilliams gives a sufficient condition for code equivalence. Recently the MacWilliams theorem has been generalized, by Fan, Liu and Puig, making use of the generalized Hamming weights (GHWs). In this paper, we will present a further generalization of the MacWilliams theorem. Our result extends both the MacWilliams theorem and the result by Fan, Liu and Puig. We will first define ''relative subcodes'' of a linear code, based on the relative generalized Hamming weights (RGHWs) which is a generalization of the GHWs; and then establish a method based on finite projective geometry to characterize relative subcodes. Using this method, we will prove our main result.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_AU
dc.format.extent123601 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglishen_US
dc.language.isoen_AU
dc.publisherElsevieren_US
dc.publisher.placeNetherlandsen_US
dc.relation.ispartofstudentpublicationNen_AU
dc.relation.ispartofpagefrom4309en_US
dc.relation.ispartofpageto4317en_US
dc.relation.ispartofissue19en_US
dc.relation.ispartofjournalInformation Sciencesen_US
dc.relation.ispartofvolume181en_US
dc.rights.retentionYen_AU
dc.subject.fieldofresearchCoding and Information Theoryen_US
dc.subject.fieldofresearchcode080401en_US
dc.titleNew code equivalence based on relative generalized Hamming weightsen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.rights.copyrightCopyright 2011 Elsevier. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.en_AU
gro.date.issued2011
gro.hasfulltextFull Text


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